22661038080 has 456 divisors, whose sum is σ = 83915280072. Its totient is φ = 5637144576.

The previous prime is 22661038079. The next prime is 22661038133. The reversal of 22661038080 is 8083016622.

22661038080 is a `hidden beast` number, since 2 + 2 + 6 + 610 + 38 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 462422016 + 22198616064 = 21504^2 + 148992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200540104 + ... + 200540216.

It is an arithmetic number, because the mean of its divisors is an integer number (184024737).

Almost surely, 2^22661038080 is an apocalyptic number.

22661038080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22661038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41957640036).

22661038080 is an abundant number, since it is smaller than the sum of its proper divisors (61254241992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22661038080 is an equidigital number, since it uses as much as digits as its factorization.

22661038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22661038080 in words is "twenty-two billion, six hundred sixty-one million, thirty-eight thousand, eighty".